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Finding the Fourth Proportional to 275,172.88, 412,800.33 and 97,665.03

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Solution

The fourth proportional to 275,172.88, 412,800.33 and 97,665.03 is: 146,512.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,172.88 : 412,800.33 = 97,665.03 : x
  2. Step 2: Convert to fraction form
    275,172.88/412,800.33 = 97,665.03/x
  3. Step 3: Cross multiply
    275,172.88x = 412,800.33 × 97,665.03
  4. Step 4: Simplify right side
    275,172.88x = 40,316,156,613.46
  5. Step 5: Solve for x
    x = 40,316,156,613.46/275,172.88
  6. Step 6: Final answer
    x = 146,512.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.